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Research Papers: Fundamental Issues and Canonical Flows

Models for Vortex-Induced Vibration of Cylinders Based on Measured Forces

[+] Author and Article Information
Robert D. Blevins

 Goodrich, 850 Lagoon Drive, Chula Vista, CA 91910

J. Fluids Eng 131(10), 101203 (Sep 30, 2009) (9 pages) doi:10.1115/1.3222906 History: Received May 20, 2008; Revised July 26, 2009; Published September 30, 2009

This paper develops experimentally based nonlinear models for the vortex shedding forces on oscillating cylinders. The lift in-phase and out-of-phase with cylinder motion and mean drag are determined from experiments with cylinder amplitudes from 0.05 cm to 1.5 cm, and reduced velocities between 2 and 12. The results are reduced to a uniform grid, tabulated, and applied to prediction of resonant, nonresonant, and time history vortex-induced vibration. The results are reduced to a uniform grid, tabulated, and applied to prediction of resonant, nonresonant and time history vortex-induced vibration.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Vortex street behind a stationary cylinder (1)

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Figure 2

Maximum transverse amplitude of lightly damped elastically supported cylinders, Strouhal number, and drag coefficient of stationary cylinders as functions of Reynolds number (6,12,18-22). Equations 1,2,3. At top, 21/2 was used to convert rms to peak in Ref. 18.

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Figure 3

Idealized spring supported damped cylinder

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Figure 4

Added mass and drag coefficients measured in still water in comparison with theory (Eq. 11)

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Figure 5

Measured Cdv with StU/fD compared with forced vibration test data (29,50) for 0.5<Ay/D<.6 and wake oscillator model (Eq. 24)

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Figure 6

Drag coefficient at maximum response amplitude: present data, Ref. 19, and Refs. 29,51.

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Figure 7

Scruton plot of resonant transverse amplitude versus reduced damping. Dark solid line is two parameter (Eqs. 20,21) solution with Tables  12 and St=0.21.

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Figure 8

Vortex-induced cylinder response predicted by lift coefficient model (Eq. 19) with CL=0.7, and two parameter coupled model (Eqs. 20,21) using Tables  12 data in comparison with experimental data; ρD2/(2m)=0.1 and St=0.21

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Figure 9

Comparison of predicted response amplitude (—) (Eqs. 20,21) using data from Tables  12 as a function of velocity with data from spring supported rigid cylinder tests in air (59)

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Figure 10

Transient prediction with two parameter model (Eqs. 30,31,17) (Tables  12) and measured transient response; ρD2/m=0.2, ς=0.02. St=0.205, U/fnD=6.21

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